The Yankee slugger was “acting like a single man,” partying with two pretty girls at the W Hotel Friday before zeroing in on a blonde at the Armani Exchange Sunglass dinner at The Delano on Saturday.

But it was business as usual for beaming Kate Hudson, who refused to talk about her private life yesterday when we asked about A-Rod at a lunch for her movie “Nine” hosted by Harvey Weinstein at Per Se. Reps for both Kate and A-Rod declined to confirm that the pair had split, although a source told us last night, “They’ve definitely broken up. There’s been some drama before about his roving eye. But this isn’t the first time they’ve split up and got back together.”

On Friday, “he partied with two women at the W and looked relaxed and happy. Miami is his home, so he always gets approached by girls,” a witness said.

The next night, a source said, “at the Armani Exchange dinner, A-Rod didn’t eat a thing because he was focused on this cute blonde — who looked a bit like Kate. He literally didn’t take his eyes off her.

“They left in a group and went to the Fontainebleau, where he hung out with the same blond girl and told other girls who approached him, ‘I am definitely single.’ ” But he left with old pal Ingrid Casares.

Hudson, meanwhile, stayed in New York over the weekend. She was spotted dining with her son, Ryder, and having brunch with friends in Carroll Gardens on Sunday.

At the “Nine” luncheon, mingling with Vogue editor Anna Wintour and co-stars Judi Dench and Nicole Kidman, Hudson was chattier about the movie. Rodriguez and Hudson have not been seen together since he joined her for the London premiere of “Nine” on Dec. 3.